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OTC 12L 5s
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Omnitetrachordal MOS scale
12L+5s
17 tones (7+3+7)
Helmholtz /
schismatic
P
= 3.8459060415 (L=
256/243
, s=
531441/524288
)
Q
= 29.4213422908 (4/3 = 5L+1.5s)
L = 70.59 to 100.00 cents (90.22 cents @ P, 98.60 cents @ Q)
s = 0.00 to 70.59 cents (23.46 cents @ P, 3.35 cents @ Q)
9/8 = 2L+s (200.00 to 211.76 cents)
4/3 = 5L+2s (494.12 to 500.00 cents)
generator = 4/3
notable EDOs: 29, 41, 46, 53, 65
symmetric mode:
LsLLLsLLsLLsLLLsL
all modes:
LsLLLsL LsL LsLLLsL
sLLLsLL sLL sLLLsLL
LLLsLLs LLs LLLsLLs
LLs LLsLLsL LLsLLsL
LLsLLsL LsL LLsLLsL
LsL LsLLsLL LsLLsLL
LsLLsLL sLL LsLLsLL
sLL sLLsLLL sLLsLLL
LLs LLsLLLs LLsLLLs
LLsLLsL LLsLLsL LLs
LsL LsLLLsL LsLLLsL
LsLLsLL LsLLsLL LsL
sLL sLLLsLL sLLLsLL
sLLsLLL sLLsLLL sLL
LLs LLLsLLs LLLsLLs
LLsLLLs LLsLLLs LLs
LsL LLsLLsL LLsLLsL
LsLLLsL LsLLLsL LsL
sLL LsLLsLL LsLLsLL
sLLLsLL sLLLsLL sLL
LLLsLLs LLLsLLs LLs
LLsLLsL LLs LLsLLsL
LLsLLsL LLsLLsL LsL
LsLLsLL LsL LsLLsLL
LsLLsLL LsLLsLL sLL
sLLsLLL sLL sLLsLLL
LLsLLLs LLs LLsLLLs
See also
Omnitetrachordality
Gallery of omnitetrachordal scales
References
Noted as omnitetrachordal by Paul Erlich no later than 2002. See tuning-math list messages
3685
and
10987
.
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12L+5s
17 tones (7+3+7)
Helmholtz / schismatic
P = 3.8459060415 (L=256/243, s=531441/524288)
Q = 29.4213422908 (4/3 = 5L+1.5s)
L = 70.59 to 100.00 cents (90.22 cents @ P, 98.60 cents @ Q)
s = 0.00 to 70.59 cents (23.46 cents @ P, 3.35 cents @ Q)
9/8 = 2L+s (200.00 to 211.76 cents)
4/3 = 5L+2s (494.12 to 500.00 cents)
generator = 4/3
notable EDOs: 29, 41, 46, 53, 65
symmetric mode: LsLLLsLLsLLsLLLsL
all modes:
See also
References